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Finding the Fourth Proportional to 2,470.72, 3,702.42 and 2,288.47

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Solution

The fourth proportional to 2,470.72, 3,702.42 and 2,288.47 is: 3,429.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.72 : 3,702.42 = 2,288.47 : x
  2. Step 2: Convert to fraction form
    2,470.72/3,702.42 = 2,288.47/x
  3. Step 3: Cross multiply
    2,470.72x = 3,702.42 × 2,288.47
  4. Step 4: Simplify right side
    2,470.72x = 8,472,877.10
  5. Step 5: Solve for x
    x = 8,472,877.10/2,470.72
  6. Step 6: Final answer
    x = 3,429.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.